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Simplifying 8 + 5r + -4 = 7r + 22 + -4r Reorder the terms: 8 + -4 + 5r = 7r + 22 + -4r Combine like terms: 8 + -4 = 4 4 + 5r = 7r + 22 + -4r Reorder the terms: 4 + 5r = 22 + 7r + -4r Combine like terms: 7r + -4r = 3r 4 + 5r = 22 + 3r Solving 4 + 5r = 22 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 4 + 5r + -3r = 22 + 3r + -3r Combine like terms: 5r + -3r = 2r 4 + 2r = 22 + 3r + -3r Combine like terms: 3r + -3r = 0 4 + 2r = 22 + 0 4 + 2r = 22 Add '-4' to each side of the equation. 4 + -4 + 2r = 22 + -4 Combine like terms: 4 + -4 = 0 0 + 2r = 22 + -4 2r = 22 + -4 Combine like terms: 22 + -4 = 18 2r = 18 Divide each side by '2'. r = 9 Simplifying r = 9
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